Synonyms of universally

3 Syllables
agreeingly, widely
4 Syllables
concorantly, consensually, principally, importantly, dominantly, prevailingly, prevalently, celestially, cosmically, generally
5 Syllables
everywhere, undisputedly, ubiquitously, unanimously, interreliantly
6 Syllables
astronomically, internationally, interculturally, multiculturally